Question 11 Mark
Find the product of $\left(4 p^2+5 p+7\right) \times 3 p$.
Answer$12 p^3+15 p^2+21 p$
View full question & answer→Question 21 Mark
Find the product.
$a^2(2 a b-5 c)$
View full question & answer→Question 31 Mark
Simplify
$(a+b+c)(a+b-c)$
Answer$a^2+2 a b+b^2-c^2$
View full question & answer→Question 41 Mark
Simplify
$(1.5 x-4 y)(1.5 x+4 y+3)-(4.5 x+12 y)$
Answer$2.25 x^2-16 y^2-24 y$
View full question & answer→Question 51 Mark
Simplify
$(x+y)(x^2-x y+y^2)$
View full question & answer→Question 61 Mark
Simplify
$(x+y)(2 x+y)+(x+2 y)(x-y)$
View full question & answer→Question 71 Mark
Simplify
$(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)$
View full question & answer→Question 81 Mark
Simplify
$(t+s^{2})(t^{2}-s)$
Answer$(t+s^2)(t^2-s)=t(t^2-s)+s^2(t^2-s) $
$=t^3-t s+t^2 s^2-s^3$
View full question & answer→Question 91 Mark
Find the product.
$(p^{2}-q^{2})(2p+q)$
Answer$2 p^3+p^2 q-2 p q^2-q^3$
View full question & answer→Question 101 Mark
Find the product.
$(a^{2}+b)(a+b^{2})$
Answer$a^3+a^2 b^2+a b+b^3$
View full question & answer→Question 111 Mark
Multiply these binomials.
$\left(\frac{3}{4} a^2+3 b^2\right)$ and $4\left(a^2-\frac{2}{3} b^2\right)$
Answer$3 a^4+10 a^2 b^2-8 b^4$
View full question & answer→Question 121 Mark
Multiply these binomials.
$\left(2 p q+3 q^2\right)$ and $\left(3 p q-2 q^2\right)$
Answer$6 p^2 q^2+5 p q^3-6 q^4$
View full question & answer→Question 131 Mark
Multiply these binomials.
$(a+3 b)$ and $(x+5)$
Answer$a x+5 a+3 b x+15 b$
View full question & answer→Question 141 Mark
Multiply these binomials.
$(y-8)$ and $(3 y-4)$
View full question & answer→Question 151 Mark
Find the product.
$x \times x^2 \times x^3 \times x^4$
View full question & answer→Question 161 Mark
Find the product.
$\left(-\frac{10}{3} p q^3\right) \times\left(\frac{6}{5} p^3 q\right)$
View full question & answer→Question 171 Mark
Carry out the multiplication of the expressions in each of the following pairs
$p q+q r+r p, 0$
View full question & answer→Question 181 Mark
Carry out the multiplication of the expressions in each of the following pairs
$a+b, 7 a^2 b^2$
Answer$7 a^3 b^2+7 a^2 b^3$
View full question & answer→Question 191 Mark
Obtain the product of
$m,-m n, m n p$
View full question & answer→Question 201 Mark
Obtain the product of
$a, 2 b, 3 c, 6 a b c$
View full question & answer→Question 211 Mark
Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.
$a, 2 b, 3 c$
View full question & answer→Question 221 Mark
Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.
$x y, 2 x^2 y, 2 x y^2$
View full question & answer→Question 231 Mark
Find the product of the following pairs of monomials.
$4 p , 0$
View full question & answer→Question 241 Mark
Find the product of the following pairs of monomials.
$4 p^3,-3 p$ $\quad$ (v) $4 p , 0$
View full question & answer→Question 251 Mark
Find the product of the following pairs of monomials.
$-4 p, 7 q p$
View full question & answer→Question 261 Mark
Find the product of the following pairs of monomials.
$4,7 p$ $\qquad\quad~$
Answer We have, 4 and $7 p$
(4) $\times(7 p)=(4 \times 7) \times p=28 \times p=28 p$
View full question & answer→Question 271 Mark
Subtract $4 p^2 q-3 p q+5 p q^2-8 p+7 q-10$ from $18-3 p-11 q+5 p q-2 p q^2+5 p^2 q.$
Answer $28+5 p-18 q+8 p q-7 p q^2+p^2 q$
View full question & answer→Question 281 Mark
Add the following
$l^2+m^2, m^2+n^2, n^2+l^2, 2 l m+2 m n+2 n l$
Answer $2\left(l^2+m^2+n^2+l m+m n+n l\right)$
View full question & answer→Question 291 Mark
Add the following
$2 p^2 q^2-3 p q+4,5+7 p q-3 p^2 q^2$
View full question & answer→Question 301 Mark
Find the values of the following, for $\text{a}=-1$ :
$(a+2)(a-3)$
AnswerWe have, $(a+2)(a-3)=(a+2) \times a+(a+2) \times(-3)$
$=a^2+2 a-3 a-6$
$=a^2-a-6$
For $a=-1$,
$a^2-a-6=(-1)^2-(-1)-6$
$=1+1-6=-4$
View full question & answer→Question 311 Mark
Find the values of the following, for $\text{a}=-1$ :
$4 a(a-8)+15$
AnswerWe have, $4 a(a-8)+15=4 a^2-32 a+15$
For $a=-1$,
$4 a^2-32 a+15=4(-1)^2-32 \times(-1)+15$
$=4+32+15=51$
View full question & answer→Question 321 Mark
Find the values of the following, for $\text{a}=-1$ :
$a(a^2-a+1)+9$
AnswerWe have, $a(a^2-a+1)+9=a^3-a^2+a+9$
For $a=-1,$
$a^3-a^2+a+9=(-1)^3-(-1)^2+(-1)+9$
$=-1-1-1+9$
$=-3+9$
$=6$
View full question & answer→Question 331 Mark
Multiply $(3 a+b+c)$ with $(3 a-b)$.
AnswerWe have, $ (3 a+b+c) \times(3 a-b) $
$ = 3 a \times(3 a-b)+b \times(3 a-b)+c \times(3 a-b) $
$ = 9 a^2-3 a b+3 a b-b^2+3 a c-b c $
$ = 9 a^2-b^2+3 a c-b c$
View full question & answer→Question 341 Mark
Subtract $(3 a^2 b c)$ from $(-13 a^2 b c+5)$.
AnswerWe have, $(-13\text a^2 \text b\text c+5)-3\text a^2\text b\text c=-16\text a^2\text b\text c+5$
View full question & answer→Question 351 Mark
Add $3 a(a-b+c)$ and $2 b(a-b+c)$.
AnswerWe have, $3 a(a-b+c)+2 b(a-b+c)$
$=3 a \times a-3 a \times b+3 a \times c+2 b \times a-2 b \times b+2 b \times c $
$=3 a^2-3 a b+3 a c+2 a b-2 b^2+2 c $
$=3 a^2-2 b^2-a b+3 a c+2 b c$
View full question & answer→Question 361 Mark
Add $17 a^2 b c, 13 a b c^2$ and $5 a b^2 c$.
AnswerOn adding $17 a^2 b c, 13 a b c^2$ and $5 a b^2 c$, we get $17 a^2 b c+13 a b c^2+5 a b^2 c$
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